2024400384 has 160 divisors (see below), whose sum is σ = 6253885440. Its totient is φ = 645359616.

The previous prime is 2024400383. The next prime is 2024400421. The reversal of 2024400384 is 4830044202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2024400383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314769 + ... + 321135.

It is an arithmetic number, because the mean of its divisors is an integer number (39086784).

Almost surely, 2^2024400384 is an apocalyptic number.

2024400384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2024400384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3126942720).

2024400384 is an abundant number, since it is smaller than the sum of its proper divisors (4229485056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2024400384 is an equidigital number, since it uses as much as digits as its factorization.

2024400384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6417 (or 6395 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 2024400384 is about 44993.3371067317. The cubic root of 2024400384 is about 1265.0241126078.

Adding to 2024400384 its reverse (4830044202), we get a palindrome (6854444586).

The spelling of 2024400384 in words is "two billion, twenty-four million, four hundred thousand, three hundred eighty-four".